The Structure of Complex Networks

Theory and Applications

Inbunden, Engelska, 2011

AvErnesto Estrada,Glasgow) Estrada, Ernesto (Chair in Complexity Science, Chair in Complexity Science, Department of Mathematics and Statistics, Department of Physics, University of Strathclyde

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This book deals with the analysis of the structure of complex networks by combining results from graph theory, physics, and pattern recognition. The book is divided into two parts. 11 chapters are dedicated to the development of theoretical tools for the structural analysis of networks, and 7 chapters are illustrating, in a critical way, applications of these tools to real-world scenarios. The first chapters provide detailed coverage of adjacency and metric and topological properties of networks, followed by chapters devoted to the analysis of individual fragments and fragment-based global invariants in complex networks. Chapters that analyse the concepts of communicability, centrality, bipartivity, expansibility and communities in networks follow. The second part of this book is devoted to the analysis of genetic, protein residue, protein-protein interaction, intercellular, ecological and socio-economic networks, including important breakthroughs as well as examples of the misuse of structural concepts.

Produktinformation

Utgivningsdatum2011-10-20
Mått196 x 247 x 49 mm
Vikt1 194 g
FormatInbunden
SpråkEngelska
Antal sidor478
FörlagOUP OXFORD
ISBN9780199591756

Tillhör följande kategorier

Fysik inom Naturvetenskap och teknik
Systemvetenskap och AI inom Data och IT
Biokemi inom Naturvetenskap och teknik
Kombinatorik och grafteori inom Naturvetenskap och teknik
Diskret matematik inom Naturvetenskap och teknik
Matematisk fysik inom Naturvetenskap och teknik

Ernesto Estrada obtained a PhD in Mathematical Chemistry from the Central University of Las Villas, Cuba in 1997 and completed post-doctoral studies at the University of Valencia, Spain and the Hebrew University of Jerusalem, Israel. In 2008 he was appointed Professor and Chair in Complexity Science at the Department of Mathematics and Statistics and the Department of Physics, University of Strathclyde, Glasgow, U.K. In 2005 he was elected fellow of the International Academy of Mathematical Chemistry (IAMC) and in 2007 he received the IAMC award as Outstanding Scientist for his multidisciplinary research in the field of complex networks. Estrada has published more than 140 scientific papers and has made seminal pioneering contributions in the areas of network matrix functions, communicability, bipartivity, subgraph centrality, generalised topological indices and the so-called Estrada index of a network.

1. Introduction ; 2. Adjacency Relationships in Networks ; 3. Metric and Topological Structure of Networks ; 4. Fragments (Subgraphs) in Complex Networks ; 5. Accounting for all parts (subgraphs) ; 6. Communicability Functions in Networks ; 7. Centrality Measures ; 8. Global Network Invariants ; 9. Expansion and Network Classes ; 10. Community Structure in Networks ; 11. Network Bipartivity ; 12. Random Models of Networks ; 13. Genetic Networks ; 14. Protein Residue Networks ; 15. Protein-protein Interaction Networks ; 16. The Structure of Reaction Networks ; 17. Intercellular Networks ; 18. Networks in Ecology ; 19. Socio-Economic Networks ; 20. Conclusions